Quantum hall effects : field theoretical approach and related topics
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書誌事項
Quantum hall effects : field theoretical approach and related topics
World Scientific, c2000
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注記
Includes bibliographical references (p. 485-497) and index
内容説明・目次
内容説明
Tremendous theoretical and experimental developments have recently been made in the sphere of the quantum Hall effect. Among them a field-theoretical approach has presented a fascinating unified physical picture. A most significant feature of the quantum Hall system is that exotic phenomena associated with statistics transmutation are realized. For instance, an electron may undergo Bose condensation by making a charge-flux composite, and fractionally charged excitations (anyons) emerge as quasiparticles. A pedagogical and self-contained discussion on monolayer and bilayer quantum Hall systems is given in a field-theoretical framework, together with an introduction to quantum field theory, anyon physics and Chern-Simons gauge theory. Only knowledge of quantum mechanics is assumed.This invaluable book will be of great interest to students and researchers in condensed-matter, theoretical, particle and mathematical physics.
目次
- Quantum field theory: quantum mechanics
- quantum field theory
- canonical quantization
- spontaneous symmetry breaking
- electromagnetic field
- topological solitons
- anyons. Monolayer quantum Hall systems: Landau quantization
- quantum Hall effects
- quasiparticles and activation energy
- field theory of composite particles
- composite bosons and semiclassical analysis
- quantum Hall ferromagnets
- spin textures
- hierarchy of fractional quantum Hall states
- edge effects. Bilayer quantum Hall systems: SU(2) pseudospin structure
- bilayer-locked states
- interlayer-coherent states
- skyrmions in SU(4)-invariant regime
- bilayer quantum-Hall junction. Algebraic approach: lowest-Landau-level projection
- quantum Hall effects in algebraic approach
- effective Hamiltonian in algebraic approach
- electric currents in bilayer systems.
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